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Finding the Fourth Proportional to 3,782.60, 5,220.08 and 2,104.08

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Solution

The fourth proportional to 3,782.60, 5,220.08 and 2,104.08 is: 2,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.60 : 5,220.08 = 2,104.08 : x
  2. Step 2: Convert to fraction form
    3,782.60/5,220.08 = 2,104.08/x
  3. Step 3: Cross multiply
    3,782.60x = 5,220.08 × 2,104.08
  4. Step 4: Simplify right side
    3,782.60x = 10,983,465.93
  5. Step 5: Solve for x
    x = 10,983,465.93/3,782.60
  6. Step 6: Final answer
    x = 2,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.